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Finding the Fourth Proportional to 21,143.30, 31,719.81 and 6,352.50

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Solution

The fourth proportional to 21,143.30, 31,719.81 and 6,352.50 is: 9,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,143.30 : 31,719.81 = 6,352.50 : x
  2. Step 2: Convert to fraction form
    21,143.30/31,719.81 = 6,352.50/x
  3. Step 3: Cross multiply
    21,143.30x = 31,719.81 × 6,352.50
  4. Step 4: Simplify right side
    21,143.30x = 201,500,093.03
  5. Step 5: Solve for x
    x = 201,500,093.03/21,143.30
  6. Step 6: Final answer
    x = 9,530.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.